The equation y = 70.5 + $ 19.5 sin [pi/6 (t - 4)] models the average monthly temperature for Phoenix, Arizona, in degrees Fahrenheit. In this equation, t denotes the number of months, with t " 1 representing January. What is the average monthly temperature for July?

What's a problem to your math

Answer:

what's the problem of the math quetion?

Answer:

D

Step-by-step explanation:

Both are exponential decay.

Answer:

Step-by-step explanation:

f(0) = 24,  f(1) = 6 and f(2) = 0 means f(x) > 0 in (0,2)

and f(0) > f(1) > f(2) means f is decreasing in (0,2)

g(0) = 15 and g(2) = 0 means g(x) > 0 in (0,2)

and g(0) > g(2) means g is decreasing in (0,2)

\(Answer: \large\boxed{Cos(\theta_{1} )=\frac{84}{85}}\)

Step-by-step explanation:

Thinking about a triangle in Quadrant IV, we can imagine sin as opposite/hypotenuse. Therefore, the hypotenuse is 85 and the opposite angle is -13. To find the adjacent angle, we use the pythagorean theorum,

\(a^2+b^2=c^2\)

\(-13^2+b^2=85^2\)

\(169+b^2=7225\)

\(b^2=7056\)

\(b=\sqrt{7056}\)

\(b=\pm84\)

Taking only the positive number, the adjacent angle is 84

Now that we have all 3 sides, we can find the cosine.

Cosine is adjacent/hypotenuse

Therefore,

\(Cos(\theta_{1} )=\frac{84}{85}\)

See the attached picture:

The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.

The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.

Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.

Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.

This question should be provided with answer choices, which are:

The correct answer is A.

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Answer:

-3x - 2

Step-by-step explanation:

-6x-4/2

-3x - 2 (divided 2 to everything)

Best of Luck!

Answer:

70°

Step-by-step explanation:

The sum of the interior angles is 180.  Subtract the 40 that you know about and you have 140.  Since the two sides are equal, the angles opposite them are equal.  140/2 = 70

Answer:

The common ratio is 3

Step-by-step explanation:

Recall that an exponential function is defined as:

\(f(x)=A\,r^x\)

where A is a multiplicative factor normally associated with the "first term of a geometric sequence", and "r" is the "common ratio" that is used to generate each of the terms of the associated geometric sequence:

\(a_n=a_1*r^{n-1}\)

So in this case:

\(a_1=7=a_1\,r^0\)

\(a_2=21=a_1\,r^1=7\,r\)

from which we derive that the common ratio "r" must be "3".

we can also corroborate that this is in fact the correct common ratio by testing the following terms of the sequence;

\(a_3=63=7\,r^2=7\,*\,9\)

\(a_4=189=7\,r^3=7\,*\,27\)

\(a_5=567=7\,r^4=7\,*\,81\)

For the second before last f(f), you have to replace x with the function f(x).

For the last one you have to replace x with the function g(x)

Answer:

-3 < x \(\leq\) 4

Step-by-step explanation:

A closed circle means that you are including that number in the solution and an open circle means that you are not including that number in the solution.  In this situation 4 is a solution, but -3 is not.

Helping in the name of Jesus.

The correct option is B.

5 pound

The number (5.3) after Decimal is <5 so it round off to 5.

It is the same to round a number to one decimal place as to the nearest tenths. At this instance, it is known which numeral is in the hundredths position. When the number in the hundredths place is higher than or equal to 5, the tenths digit is raised by one unit.

A typical rule of thumb is to glance at the digit immediately to the right of the place value you want to round to and make your choice. For instance, rounding 5.1837 to the closest hundredth would result in 5.18 (because 3<5), whereas rounding 5.184 to the nearest thousandth would result in 5.184 (because 7>5).

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I understand that the question your are looking for is:

A scale measured a 4.5-pound brick as weighing 5.3 pounds. which measurement is more accurate but less precise than 5.3 pounds?

A. 4.98 pounds

B. 5 pounds

C. 5.52 pounds

D. 6 pounds

Answer:

Carter's football team lost 8 games.

Answer:

P' (-7, -4) , Q' (7, -8) , R' (-8, 4)

Step-by-step explanation:

Reflection in the y -axis:

The rule for a reflection over the y-axis is (x, y) → (−x, y).

P (7, -4) → P' (-7, -4)

Q (-7, -8) → Q' (7, -8)

R (8, 4) → R' (-8, 4)

If the radius of the base of a cone is decreasing at rate of 2 cm/minute and the height is kept constant at 9 cm, the rate of change of the volume at radius 13 cm is 489.4 cm³/minute

To calculate the rate of change, we need to take the derivative of the variables with respect to time.

The volume of a cone is given by:

V = 1/3 . πr²h

Where:

r = radius of the base

h = height

Since the height of the cone is held constant, then the derivative with respect to time is:

dV/dt = 1/3 h. 2πr dr/dt

Parameters given:

dr/dt = 2 cm/minute

h = 9 cm

r = 13 cm

Hence,

dV/dt = 1/3 x 9 x 2π x 13 x 2

dV/dt = 489.4 cm³/minute

Hence, at radius 13 cm, the rate of change of the volume is 489.4 cm³/minute

It looks like there was typos in your question, most probably your question was:

The radius of the base of a cone is decreasing at a rate of 2 centimeters per minute. The height of the cone is fixed at 9 centimeters. At a certain instant, the radius is 13 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?

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Answer:

Number 4 is 9 2/8 because if u add the 4 and 5 that is 9 and if u add 1 and 1 that is 2 and multiply 2 and 4 that is 8.

Answer:

ewrwr33r2ewrwrerw3t

Step-by-step explanation:

Answer:

LIke ummmm

Step-by-step explanation:

soo like maybe umm like umm  she has 10 dollars worth of nickles and 1.60 dollars worth of quarters

Answer:

Emma has $50.40 worth of quarters

John and his three passengers travel a total of 20.25 miles on the toll lane.

To solve this problem, we can use the fact that each person pays about $0.81, which includes their contribution to the toll lane entry fee. This means that the total amount of money paid by John and his three passengers is 4 times $0.81, or $3.24.

We can then use this information to find the cost per mile of the toll lane. If they traveled a total of x miles on the toll lane, then the cost per mile would be:

$3.24 / x

We can set this equal to the given cost of 16 cents per mile:

$0.16 = $3.24 / x

Multiplying both sides by x, we get:

x * $0.16 = $3.24

Dividing both sides by $0.16, we get:

x = $3.24 / $0.16

x = 20.25 miles

In summary, to find the distance they traveled on the toll lane, we used the fact that they split the cost of the toll, and that each person paid about $0.81. We then set the cost per mile equal to the given cost of 16 cents per mile, and solved for the distance traveled on the toll lane, which turned out to be 20.25 miles.

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Answer:

Step-by-step explanation:

Solving for r

The multiplied form of the Algebraic expression is 10x -0.8\(x^{2}\)

An algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators.

These expressions may be linear, quadratic or polynomials and the numbers in front of each term is called coefficient while the symbols or letters are called variable

2x( 5 - 0.4x)

we multiply each term in the bracket by 2x

2x  x 5  - 2x x 0.4x = 10x - 0.8\(x^{2}\)

In conclusion, 2x(5 - 0.4x) reduces to 10x - 0.8\(x^{2}\)

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R2 value less than 1 does not necessarily mean that the regression analysis is incorrect or that the observation data is suspect.

Rather, it suggests that there may be additional factors to consider when interpreting the results.

The statement "If R2 is less than 1, the regression analysis is incorrect" is not entirely true.

R2 is a statistical measure that indicates the proportion of the variance in the dependent variable that is explained by the independent variable(s). R2 values range from 0 to 1, where 0 indicates no correlation and 1 indicates perfect correlation.

If R2 is less than 1, it simply means that the independent variable(s) are not able to explain all of the variation in the dependent variable.

This does not necessarily mean that the regression analysis is incorrect.

In fact, it is common for regression analyses to have R2 values that are less than 1.

The key is to interpret the R2 value in conjunction with other statistical measures and to consider the research question being addressed.

Some possible implications of having an R2 value less than 1 might include:

The independent variable(s) have a weaker relationship with the dependent variable than anticipated.

There may be other factors that are influencing the dependent variable that are not accounted for in the regression analysis.

The sample size may be too small to detect a significant relationship between the independent and dependent variables.

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In the case when ø21 and ø22 are unknown and can be assumed equal, we can calculate a pooled estimate of the population variance. This statement is True.

In the case where ø21 and ø22 are unknown and can be assumed equal, it is possible to calculate a pooled estimate of the population variance. This pooled estimate combines the sample variances from two groups or populations to obtain a more accurate estimate of the common variance. It assumes that the underlying variances in both groups are equal.

The pooled estimate of the population variance is calculated by taking a weighted average of the individual sample variances, with the weights determined by the sample sizes of the two groups. This pooled estimate is useful in various statistical analyses, such as t-tests or analysis of variance (ANOVA), where the assumption of equal variances is necessary.

However, it is important to note that the assumption of equal variances should be validated or tested before using the pooled estimate. If there is evidence to suggest unequal variances, alternative methods or adjustments may be necessary.

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Answer:

The answer is graph D

Step-by-step explanation:

Starting at trigangle ABC apply a 90-degree rotation. This puts the triangle in quadrant 1 (Q1/the top right). So this leaves you with graphs A,C or D left. The eaiest way to see the orientation of the shape wuold be to turn the page 90-degrees clockwise.

Then staring from the triangle in Q1 reflect over the x-axis. This is the tranformation of the image folded over the horizontal axis. So it would place the triangle into quandant 4 (Q4/ bottom right) and would give the answer as graph D.

(a)The probability that all four adults are very confident is approximately 0.0056.

(b) The probability that none of the adults are very confident  is approximately 0.522.

(c) The probability that at least one adult is very confident is   approximately 0.478.  

What is the probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults, given the proportion of very confident individuals?

The probability of selecting four adults at random without replacement from a sample of 1000 U.S. adults depends on the proportion of very confident individuals. By calculating the probability of all four adults being very confident (a), none of the four adults being very confident (b), and at least one of the four adults being very confident (c), we can determine the likelihood of these scenarios occurring based on the given information.

To solve this problem, we can use the concept of probability and combinations.

(a)Given that there are 150 out of 1000 U.S. adults who are very confident, the probability of selecting one adult who is very confident is:

P(very confident) = 150/1000

= 0.15

Since the sampling is done without replacement, after each selection, the sample size decreases by 1. Therefore, for the second selection, the probability becomes 149/999, for the third selection, it becomes 148/998, and for the fourth selection, it becomes 147/997.

To find the probability that all four adults are very confident, we multiply these probabilities together:

P(all four adults are very confident) = (0.15) * (149/999) * (148/998) * (147/997)

≈ 0.0056

(b) The probability of selecting one adult who is not very confident (opposite of very confident) is:

P(not very confident) = 1 - P(very confident)

= 1 - 0.15

= 0.85

Since we are selecting four adults at random without replacement, the probability of none of them being very confident can be calculated as:

P(none very confident) = P(not very confident) * P(not very confident) * P(not very confident) * P(not very confident)

= (0.85)* (0.85) * (0.85) * (0.85)

≈ 0.522

(c) The probability of at least one adult being very confident is the complement of none of them being very confident:

P(at least one very confident) = 1 - P(none very confident)

= 1 - 0.522

= 0.478

Therefore,

(a) The probability that all four adults are very confident is approximately 0.0056.

(b) The probability that none of the adults are very confident is approximately 0.522.

(c) The probability that at least one adult is very confident is approximately 0.478.  

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Explanation:

4:58 PM is 1658 in military time or 24 hour time format.

We add 12 to the hour value to get 4+12 = 16. The minutes stay the same.

Here's a chart converting the given PM time values to their respective corresponding 24 hour time format

\(\begin{array}{|c|c|}\cline{1-2}\text{12 hour} & \text{24 hour} \\ \cline{1-2}\text{4:58 PM} & \text{1658} \\ \cline{1-2}\text{5:01 PM} & \text{1701} \\ \cline{1-2}\text{5:32 PM} & \text{1732} \\ \cline{1-2}\text{5:46 PM} & \text{1746} \\ \cline{1-2}\text{4:31 PM} & \text{1631} \\ \cline{1-2}\end{array}\)

Margie's time sheet in terms of 24 hour time format would look like this

\(\begin{array}{|c|c|}\cline{1-2}\text{Time in} & \text{Time out} \\ \cline{1-2}\text{0705} & \text{1658} \\ \cline{1-2}\text{0730} & \text{1701} \\ \cline{1-2}\text{0801} & \text{1732} \\ \cline{1-2}\text{0722} & \text{1746} \\ \cline{1-2}\text{0655} & \text{1631} \\ \cline{1-2}\end{array}\\\)

To find the duration for any row, we subtract the time out and time in values

A duration like 0953 means she worked 9 hours, 53 minutes for that day.

Then we'll add up those durations

0953+0971+0931+1024+0976 = 4855

She worked 48 hours and 55 minutes in total for this week. This rounds to 49 hours since the "55 minutes" is really close to 60 min = 1 hour.

Answer:

48.5 and 34.5

Step-by-step explanation:

83 divided by 2 and then subtract 7

Answer:

45 and 38 equal 83 and 45 is 7 more than 38

Answer:

9 units

Step-by-step explanation:

The dotted line, which is the height, is labeled as 9, so it is 9 units.

Hope that helps!

Answer: 9 units

Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle

Answer:

\(\frac{-5}{34}\)

Step-by-step explanation:

\(\frac{5}{12} * \frac{-6}{17}\)  = \(\frac{-30}{204}\)

We can simplify.

\(\frac{-15}{102}\)  ⇒ Divided both by 2

\(\frac{-5}{34}\)  ⇒  Divided both by 3

\(\frac{-5}{34}\) is the final answer

Answer:

Here,

\(2x + 4y = 16....eqn \: i \\ 4y = 12....eqn \: ii\)

substituting the value of 4y in eqn i fron eqn ii

so eqn i becomes

\(2x + 12 = 16 \\ 2x = 4 \\ x = 2\)

So

\(y = 12 \div 4 = 3\)

Thus,

\(x = 2 \: and \: y = 3\)

...hope this helps:)